The formula for perimeter is 2l+2w. Since we know l=(w-4)-9, we can substitute this into the formula.
l=w-13
2(w-13)+2w=143
2w-26+2w=143
4w=169
w=42.25 units
Hope this helps!
Answer:
Step-by-step explanation:
a) Complete the table
Monday Tuesday Wednesday Total
Female 21-14=7 38-13-7= 18 13 38
Male 14 33-18= 15 26-13 =13 80-38=42
Total 80-33-26= 21 33 26 80
b) P(the student is a female) = 38/80= 0.475
c) P(the student visited the library on Tuesday) = 33/80= 0.4125
Answer:
#15: 1/5 (x^2 - x - 3)^5
#18: 5 (3x^2 - 6x + 1)^5
Step-by-step explanation:
#15
(2x-1)(x^2-x+3)^4
Chain Rule!!!
g'(x)f'(g(x)) = d/dx(f(g(x)) = (f ⚬ g)'(x)
f'(x) = x^4
g(x) = x^2 - x - 3
g'(x) = 2x - 1
So we only have to integrate x^4 gives 1/5 x^5
f(x) = 1/5 x^5
f(g(x)) = (f ⚬ g)(x) = 1/5 (x^2 - x - 3)^5
#18
150(x-1)(3x^2-6x+1)^4
Chain rule again!! In disguise.
f'(x) = x^4
f(x) = 1/5 x^5
g(x) = 3x^2-6x+1
g'(x) = 6x - 6 = 6(x-1)
150(x-1) = 25 g'(x)
25 g'(x)f'(g(x)) = 25 (f ⚬ g)(x) = 5(3x^2-6x+1)^5
First let's find the mesure of the missing ANGLE: Missing angle = 180° - (42°+ 87°) = 51°
cos 51° = (adjacent side)/(hypotenuse) = x/43
<u />0.629320.91 = x/43
and x = 27.1
The answer to this question is 5/11